finel the Jagrange equation of Motion Suspended for a'pendillum bob with a abber band.

Q: Derive the differential equation of motion for the system shown in Figure (). Neglact the mass of…

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Q: Two blocks, A and B, with masses of MA = 2M and MB = M, respectively, are connected together by a…

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Q: Derive the equation of motion using Lagrangian method for a system constitute a cart, and two tires…

A: For solution refer below images.

Q: b) Draw the free-body diagram and derive the equation of motion using Newton's second law. Also,…

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Q: Find the angular frequency of motion of disc of mass m and radius r for small motion (Assuming that…

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Q: A sphere of mass 1.7 kg and radius 0.5 m is attached to the end of a massless rod of length 3.0 m.…

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Q: Q Find the egquations of motion of the vi brating undamped system Lagrange method. Fig be low ,…

A: If the speed of masses m1 and m2 are x1˙ and x2˙ respectively then,   The total kinetic energy of…

Q: Example 1: A uniform disc of 150 mm diameter has a mass of 5 kg It is mounted centrally in bearings…

A: Solution :  Given data  d = 150 mm m = 5 kg N = 1000 rpm Np = 60 rpm  l = 100 mm = 0.7m…

Q: The tofal sleeve movement in a Hartnell governor is 3 cm. The mass of rotating balls is Y.5 kg each.…

A: Given data: h=3 cmb=6.5 cma=7.5 cmr=10.5 cmm=1.5 kgN1=415 rpmN2=430 rpm Need to determine the…

Q: Q4) Derive the equation of motion of figure 4. www 2c 一十 Slender bar of mass m Figure 4

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Q: Explain Non-Inertial frame and pseudo forces in detail And A fan is rotating at a constant 360.0…

A: Given data: The rotation speed of the fan is N = 360 rev/min. The distance of a point on the blade…

Q: Atwood's machine: Figure 1.4 is a sketch of Atwood's machine. It consists of masses m¡ and m2…

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Q: A flywheel  is fitted to a multi cylinder engine, which runs at a mean speed of 360 r.p.m. If the…

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Q: A cam-follower mechanism is used to convert the rotary motion of a shaft into the oscillating or…

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Q: A flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 340 r.p.m. If the…

A: Given data:

Q: A flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 390 r.p.m. If the…

A: Given data:

Q: Q 27. Calculate the time period of oscillation (T) of the ship, whose metacentric height is 900 mm…

A: As per given question  Metacentric height=900mm Radius of gyration =9m We have to determine the time…

Q: QI/ A shaft rotating at 120 r.p.m is supported in bearing A and B, 1.8 m apart, A being at the left-…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Consider the system below. Calculate the kinetic energy of this system. Assume that pulley otates…

A: Drr

Q: Example 1: A uniform disc of 150 mm diameter has a mass of 5 kg. It is mounted centrally in bearings…

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Q: A circular cylinders of radius r and mass m is connected by two springs, as shown below. Derive the…

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Q: Derive the equations of motion using Lagrange's equations.

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Q: Q5) Derive the equation of motion of figure 5. ml m2

A: k = Spring constant. c = damping coefficient. Ip =Moment of inertia of the pulley. m1 is the mass of…

Q: b) Draw the free-body diagram and derive the equation of motion using Newton's second law. Also,…

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Q: A flywheel of moment of inertia 9.8kg m3 fluctuates by 30rpm for a fluctuation in energy of 1936…

A: Given data: N1-N2=30 rpmI=9.8 kg.m2E=1936 J Need to determine the mean speed of the flywheel.

Q: Distinguish the three types of rigid body planar motion. In your own word, give a short description…

A: Main three types of rigid body planar motion are : 1. Rectilinear Translation Motion 2. Curvilinear…

Q: ind the equation of motion using the Lagrangian method?

A: The system is as shown below, VA=Vo+θ˙×rA/OVA=x˙-j^ +θ˙k^×lsinθ i^-cosθ j^…

Q: Example 4: Four-wheeled trolley car of mass 2500 kg runs on rails, which are 1.5 m apart and travels…

A: Solution:- Given:- m=2500kg, x=1.5, R=30m⇒v=24km/hr=6.67m/s⇒Dω=0.75m &…

Q: Q2) Draw the free-body diagram and derive the equation of motion using Newton s second law of motion…

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Q: Find the motion equations of the system shown in the figure.

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Q: What a force which is independent of the path and depends only upon initial and final positions…

A: Conservative force is force when work done by this force in a closed path is zero. Force due to…

Q: ndulum if the

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Q: A box of mass 400 kg is supported on a spring scale on the floor of a goods Ilft. The is 1900 kg.…

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Q: Derive the equation of motion using Lagrangian method for a system constitute a cart, and two tires…

A: Assumptions:- 1). small deflect x is considered same for mass 'm' card and wheels C.G. because…

Q: Q1) Derive the equation of motion of figure 1. 2k ww 3. Slender bar of mass m Rigid massless k link…

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Q: 2. Flyballs A and B weigh 20 lbs each. Neglecting the weight of the other links, what counterweight…

A: Given ; m = 20 lbs W = ? (Counterweight to retain the system in the same position) To maintain the…

Q: A rod of length L, Young's modulus E, cross-sectional area A and mass density p is installed as…

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Q: The figure below shows a disc, that is in contact with a larger half disc and able to swing on a…

A: Solution: Given Data: m=15 kgr=0.03 mR=2rg=9.81 m/s2

Q: (a) With the aids of diagram, explain how gyroscopic moment is generate (b) The thin disk of mass m…

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Q: Question 3 A shaft rotating at 180 rev/min is supported by bearings A and B, 2.1 m apart, A being at…

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Q: ine driving a dynamo has a mass of 180 kg and a radius of gyration of 30 mm. The shaft at the…

A: Given:Mass of flywheel dynamo,m1=180KgRadius of gyration of dynamo,k1=30mm=0.03mLength of flywheel…

Q: Three bars, each 2 ft long and weighing 9.66 lb, are pinned together to form the equilateral frame…

A: The length of the each bar is given as, l=2 ftl=23.281ml=0.60 m The weight of the bar is given as,…

Q: Consider the system shown at right. Find an equation of motion for the block with mass mj. Assume…

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Q: Q1: A machine is modelled by the system shown. The masses of the main elements and m2, and the…

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Q: Example 2: An airplane makes a complete half circle of 50 m radius, towards left, when flying at 200…

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Q: Problem 2.1 www M1 K2 F(t) M2 В

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Q: :0.3 m, Ko = 0.5 m, k = 500 N/m, and k. 40 N.m/rad, In the system shown, m = where Ko is the radius…

A: Given: The mass, m = 10 kg The radius of pulley, r = 0.3 m The radius of gyration of pulley about O,…

Q: Consider a toy vehicle with a body of mass M = 2Kg on two wheels, each of mass m = 1Kg and radius r…

A: Given data as per the question Mass of toy =2 kg Mass of each wheel =1 kg The radius of wheel =0.1 m…

Q: Q-3 For the system in fig (3) find : 1. F.B.D 2. Ceq at mass (m). 3. Equivalent system. 4. Equation…

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Forms of Energy

Energy is described as the capability to accomplish a task, like the ability to push a block by applying force on it. It is a quantitative property that is used to accomplish work on an object.